Prime p₀= 11467404834475439 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 46 2 76 2 22 2 16 2 (?)
a_n: 0 2 42 44 90 92 168 170 192 194 210 212
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 212
Found by: crashtech
db: batch=62, k=12, 40 46 76 22 16

SPT(14)	11467374628548439	0 34 52 54 84 90 108 154 172 178 208 210 228 262	-30205927000
SPT(14)	11467380297937987	0 82 90 112 120 142 174 190 222 244 252 274 282 364	-24536537452
SPT(14)	11467383385711711	0 22 30 42 58 82 90 100 108 132 148 160 168 190	-21448763728
SPT(14)	11467389314986351	0 6 10 40 70 76 88 90 102 108 138 168 172 178	-15519489088
SPT(14)	11467392368943263	0 60 68 86 96 98 126 128 156 158 168 186 194 254	-12465532176
SPT(14)	11467395150840289	0 30 42 52 100 112 160 174 222 234 282 292 304 334	-9683635150
SPT(16)	11467416763517483	0 90 96 98 104 170 224 228 236 240 294 360 366 368 374 464	11929042044
TPT(12)	11467416777503369	0 2 168 170 180 182 222 224 270 272 300 302	11943027930
SPT(14)	11467422790739081	0 8 20 36 50 62 66 122 126 138 152 168 180 188	17956263642
TPT(12)	11467423316540291	0 2 18 20 36 38 156 158 168 170 198 200	18482064852
SPT(14)	11467426089379783	0 6 18 34 46 48 54 70 76 78 90 106 118 124	21254904344